Blake Coleman scored two goals, and Keith Kinkaid made 39 saves for the Devils, who trail the Philadelphia Flyers by one point for third place in the Metropolitan Division.
WATCH: [All Devils vs. Golden Knights highlights]
"I think it was nice to find the back of the net as much as we did tonight," coach John Hynes said. "I think in the last couple of weeks, we played some really good hockey but didn't get rewarded in the score sheet or the win column. It was a great environment to play in tonight."
The eight goals were a season high for the Devils (their previous high came in a 7-5 win at the Chicago Blackhawks on Nov. 12), who were coming off a 3-2 shootout win at the Nashville Predators on March 10 to begin a six-game road trip.
"I think the bigger the game, the more we show up," said Kinkaid, who is 8-2-0 with a 2.36 goals-against average and .928 save percentage in his past 10 games dating to Feb. 13. "Those were tough games, in tough buildings. We know what we need to do, and we've just got to stick with what works with us.
"We're aware of [the standings], but ultimately we control our own destiny. If we keep winning, we're going to make the playoffs."
The Golden Knights (45-20-5) went 4-1-0 on a five-game road trip but have now lost three in a row at home. They lead the Pacific Division by 10 points over the San Jose Sharks, who won 4-3 in overtime at the Edmonton Oilers, and trail the Predators by five points for first in the Western Conference.